Thomson rings in a disk

M. Cerkaski, R. G. Nazmitdinov, and A. Puente
Phys. Rev. E 91, 032312 – Published 23 March 2015

Abstract

We discuss the basic principles of self-organization of a finite number of charged particles interacting via the 1/r Coulomb potential in disk geometry. The analysis is based on the cyclic symmetry and periodicity of the Coulomb interaction between particles located on several rings. As a result, a system of equations is derived, which allows us readily to determine with high accuracy the equilibrium configurations of a few hundred charged particles. For n200, we predict the formation of a hexagonal core and valence circular rings for the centered configurations.

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  • Received 20 March 2014

DOI:https://doi.org/10.1103/PhysRevE.91.032312

©2015 American Physical Society

Authors & Affiliations

M. Cerkaski1, R. G. Nazmitdinov2,3, and A. Puente2

  • 1Department of Theory of Structure of Matter, Institute of Nuclear Physics PAN, 31-342 Cracow, Poland
  • 2Departament de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain
  • 3Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia

Comments & Replies

Comment on “Thomson rings in a disk”

Paolo Amore
Phys. Rev. E 95, 026601 (2017)

Reply to “Comment on ‘Thomson rings in a disk' ”

A. Puente, R. G. Nazmitdinov, M. Cerkaski, and K. N. Pichugin
Phys. Rev. E 95, 026602 (2017)

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Vol. 91, Iss. 3 — March 2015

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